Pith Number

pith:BLQTTRGX

pith:2017:BLQTTRGXQOUMT7XHD5PT5KASIH

not attested not anchored not stored refs pending

Mekler's construction and generalized stability

Artem Chernikov, Nadja Hempel

arxiv:1708.03724 v2 · 2017-08-11 · math.LO · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLQTTRGXQOUMT7XHD5PT5KASIH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:11:18.768574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ae139c4d783a8c9fee71f5f3ea81241e8ac05a9185f8913b6006657d5075f54

Aliases

arxiv: 1708.03724 · arxiv_version: 1708.03724v2 · doi: 10.48550/arxiv.1708.03724 · pith_short_12: BLQTTRGXQOUM · pith_short_16: BLQTTRGXQOUMT7XH · pith_short_8: BLQTTRGX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BLQTTRGXQOUMT7XHD5PT5KASIH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0ae139c4d783a8c9fee71f5f3ea81241e8ac05a9185f8913b6006657d5075f54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67c79af371742de0c0e4099f98a33d6b6566bc4f894854325a3f390f1bb39819",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-08-11T22:48:56Z",
    "title_canon_sha256": "1705733bd5334a67d1297779d3703f02500429e5fa81d8855bff7c58e62b34a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03724",
    "kind": "arxiv",
    "version": 2
  }
}